(ignored inputs)COMMENT TPDB SRS_Standard/Waldmann_07_size12/size-12-alpha-3-num-95
Rewrite Rules:
   [ a(?x) -> ?x,
     a(a(?x)) -> b(c(?x)),
     b(?x) -> ?x,
     c(?x) -> ?x,
     c(b(?x)) -> b(a(c(?x))) ]
Apply Direct Methods...
Inner CPs:
   [ a(?x) = b(c(?x)),
     c(?x_2) = b(a(c(?x_2))),
     a(b(c(?x))) = b(c(a(?x))) ]
Outer CPs:
   [ a(?x_1) = b(c(?x_1)),
     b(?x_4) = b(a(c(?x_4))) ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(c(?x_1)) = a(?x_1),
     b(c(?x_1)) = b(c(a(?x_1))),
     ?x = b(c(?x)),
     a(?x) = b(c(?x)),
     a(b(c(?x_1))) = b(c(a(?x_1))),
     b(c(b(c(?x_1)))) = a(b(c(a(?x_1)))),
     b(c(?x)) = a(b(c(?x))),
     b(c(a(?x))) = a(b(c(?x))),
     b(a(c(?x))) = c(?x),
     b(a(c(?x_4))) = b(?x_4),
     ?x = b(a(c(?x))),
     b(?x) = b(a(c(?x))),
     c(?x) = b(a(c(?x))) ]
Okui (Simultaneous CPs)
Direct Methods: CR

Combined result: CR
982.trs: Success(CR)
YES
(23 msec.)